Abstract
Approaching the atomic nucleus at low excitation energy (excitation energy less than the nucleon separation energy) can be done on a non-relativistic level. If we start from an A-nucleon problem interacting via a given two-body potential V i, j, the non-relativistic Hamiltonian can be written as
where t i is the kinetic energy of the nucleon motion. Much experimental evidence for an average, single-particle independent motion of nucleons exists, a point of view that is not immediately obvious from the above Hamiltonian. This idea acts as a guide making a separation of the Hamiltonian into A one-body Hamiltonians (described by an average one-body potential U i) and residual interactions. This can be formally done by writing
, with
, and
. It is a task to determine U i as well as possible such that the residual interaction H res remains as a small perturbation on the independent A-nucleon system. This task can be accomplished by modern Hartree-Fock methods where the residual interaction with which one starts is somewhat more complicated such as the Skyrme-type interactions (two-body plus three-body terms) which have been used with considerable success. This process of going from the two-body interaction V i, j towards a one-body potential is drawn schematically.
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© 1994 Springer-Verlag Berlin Heidelberg
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Heyde, K.L.G. (1994). Introduction. In: The Nuclear Shell Model. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79052-2_1
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DOI: https://doi.org/10.1007/978-3-642-79052-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79054-6
Online ISBN: 978-3-642-79052-2
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